Question

find cd.
write your answer as an integer or as a decimal rounded to the nearest tenth.
cd =

Explanation:

Step1: Identify matching sides/angles

$\angle C = \angle ABD = 46^\circ$, hypotenuse $BC=2.8$. CD is the side opposite $\angle B$.

Step2: Apply sine formula

$\sin(46^\circ) = \frac{CD}{BC}$
$CD = 2.8\times\sin(46^\circ)$

Step3: Calculate final value

$2.8\times\sin(46^\circ) \approx 2.8\times0.7193 = 2.014$

Answer:

$2.0$